Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for all t>0 (the equiliburm soultions) In what regions are the soultions increasing? and decreasing?

Q: Consider the following series. n = 1 Evaluate the following limit where an = R = x n42n I = an+1 lim…

A:

Q: Find the area between f(x) = x^2- 9 and the x-axis from x = 0 to x = 6. The area is blank square…

A:

Q: f(x)= x^2log(x) look at the graph to find which function dominate the polynominal or the logarithm.…

A:

Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

Q: b. Given the vectors a=2i-j+2 k, b=3 i + 2 j -k, c =i+2 k i. Calculate: 2a-(b-3c) ii. Determine the…

A: "According to the guidelines issued by the company We are supposed to answer only first three…

Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √√√y+3 lim (x,y)→(9,6) x-y-3 x+y+3 C

A: Part 1,Given,           limx,y→2,24-x-yx+y-2

Q: Determine which of the following is the particular solution for the differential equation…

A:

Q: how long would it take 20,000 to double if it earned 6.25 percent interest and was compounded…

A: Topic:- application of algebra

Q: Suppose that a particle moves along a straight line with velocity v(t)=10−6t, where 0≤t≤1.5 (in…

A:

Q: Find the points at which the following polar curves have horizontal or vertical tangent lines r= 3…

A: We need to find asymptotes.

Q: (a) What does it mean for a series to be absolutely convergent? dn is absolutely convergent if an…

A: We have to discuss about absolute convergent and conditionally convergent.

Q: How many 4 card hands are possible with a 26-ċard deck?

A:

Q: marginal cost for a company to produce q items is given by MC(g) = 0.005q^2 - 0.7q + 650. The…

A: Given query is to find the cost at production level 14.

Q: Find the iterated integral. (Give an exact answer. Use symbolic notation and fractions where…

A:

Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

A: let the dimensions are length = y breadth = x Given area ( A ) = 4

Q: A piece of tissue paper is picked up in gusty wind. The table shows the velocity of the paper at 2…

A: The given table for the velocity of the paper is given as                     Time…

Q: Ordinary Differential Equations of the First Order.pdf Exercises: 1. y(2x-y+1) dx + x(3x-4y+3) dy =…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3 A curve is given parametrically by y = 2t 2, x = t²-1. The area between the curve and the x-axis…

A:

Q: Convert the point (p, 0, 6) = (1, 57, 57) te 6 6 expressions, or decimals to at least one decimal…

A:

Q: Which of these could not be a parametrisation of y² = 8x...? a) y = t, x = ² Ob) y = 2t, x = t - Oc)…

A: Solution )  y2 = 8x  a) When y = t  t2 = 8x  x = t2/ 8  ( correct )  b ) when y = 2t  ( 2t)2 = 8x…

Q: If f/u) = sinu; then (fog)'(3) = ? B) 1 = g(x) c) 6 10 kone E) None D) 9 A hind S'hospitals

A: f(u)= sin u u=g(x)=x2-9 To find (fog)'(3)

Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

A: given  rate is  f(t)=3tinitial covers is  1200 acres∫tndt=tn+1n+1+c

Q: The number of hands is

A:

Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A: Given   N (t) = 0.5 + 1.1 e 0.01t The relative rate of change RRC = f’ (t)/f (t). (1.1)(0.01)e0.01t…

Q: 5 Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A: To find the standard equation of the ellipse

Q: The postal service will accept a box for domestic shipment only if the sum of its length and girth…

A: Let's find maximum volume.

Q: Express the solution to the following inequality in interval notation. 6 2x + 1 ≤2

A:

Q: Given the graph of f(x) and the labeled areas, 12 find 7 0 f(x)dx 12 [ f(x)dx= 0 [] A=12 B=6

A:

Q: Find the equation of the line tangent to the function at the given point. y = (-2x + 6)1/2 at (1,2)

A:

Q: Evaluate the cylindrical coordinate integral * 0/2* 3+26r² SS S dz r dr dº 00 0

A:

Q: Starting from an airport, an airplane flies 110 miles northwest and then 110 miles south. How far,…

A:

Q: Find the indefinite integral x² S ²-16 =dx = +c

A: INTRODUCTION:   An integral is considered to be indefinite if it has no upper or lower bounds.  In…

Q: Solve the following differential equation. 2xy - 9x² + (2y + x² +1) dy dr = 0

A: We know that exact differential equation is M(x,y)dx + N(x,y)dy = 0. If differential equations is…

Q: - A curve C is given parametrically by x = t² – 4t, y = 3t³ — t. Which of these is false ...? a) The…

A:

Q: y dx + (x-xy+2) dy =0

A: given differential equation is  ydx+(x-xy+2)dy=0⇒dxdy=-x-xy+2y⇒dxdy+x1-yy=-2y which is linear…

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

A:

Q: Find the average value of the function f(x, y) over the plane region R. (Give your answer correct to…

A:

Q: Find

A:

Q: Determine the Wronskian of the following functions: f (x)=x, f,(x)=e*, f (x)=xe* 3 00 O 2x -xe c²e²x…

A:

Q: when 36 = 5a 120 = loa 434 = lo b + 3o c + 3ob + 100 c loob +354C + 30a + ving equations by the…

A: Topic:- application of algebra

Q: What are the critical points for the plane c defined by the equations ä(t) = 4 sin(2t

A: given plane curve be  x(t)=4sin(2t)    and      y(t)=-t     where  0≤y<2π   then we have to find…

Q: Please show more steps to how you got the standard equation. Shouldn't it be 51/5 and 85/3

A:

Q: Pizza House offers 2 different salads, 2 different kinds of pizza, and 4 different desserts. How…

A:

Q: Given vectors u = (-33, 6) and v = (-19,5), find vector u — v.

A: To find the vector difference

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. y -4 A Find the…

A:

Q: - The normal to the curve given parametrically by x = t² + 2, y = 2t² – 3t at the point where t = 1…

A:

Q: Test the series for convergence or divergence using the Alternating Series Test. Identify b Σ…

A:

Q: Determine which of the following is the particular solution for the differential equation (D² -…

A:

Q: Calculate the work W against gravity required to build a right circular cone of height 2 m and base…

A:

Q: Let g(x, y) = 3.³ -6.x²-5.y2 +1. a. Əg ar Show/hide

A: